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Finding the Third Proportional to 611,113,608 and 969,264,116

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Solution

The third proportional to 611,113,608 and 969,264,116 is: 1,537,313,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,113,608 : 969,264,116 = 969,264,116 : x
  2. Step 2: Convert to fraction form
    611,113,608/969,264,116 = 969,264,116/x
  3. Step 3: Cross multiply
    611,113,608x = 969,264,116 × 969,264,116
  4. Step 4: Simplify right side
    611,113,608x = 939,472,926,565,261,440
  5. Step 5: Solve for x
    x = 939,472,926,565,261,440/611,113,608
  6. Step 6: Final answer
    x = 1,537,313,053.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.